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Finding the Fourth Proportional to 342.18, 472.42 and 224.20

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Solution

The fourth proportional to 342.18, 472.42 and 224.20 is: 309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.18 : 472.42 = 224.20 : x
  2. Step 2: Convert to fraction form
    342.18/472.42 = 224.20/x
  3. Step 3: Cross multiply
    342.18x = 472.42 × 224.20
  4. Step 4: Simplify right side
    342.18x = 105,916.56
  5. Step 5: Solve for x
    x = 105,916.56/342.18
  6. Step 6: Final answer
    x = 309.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.